Answer:
5/6 is the simplest form
Hope that helps
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?
To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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what is the area of 3.14 x 20
Answer:
62.8
Step-by-step explanation:
Kenny wants to wrap his mom's present. Wrapping paper is three cents per square inch. How much will the wrapping paper cost Kenny?
Answer:
There is no answer because we dont know how many square inches his moms present is.
what is the amount of water in the aquarium at 0 minutes
Answer:
I would guess it would be 0 but is there a graph or background info
?
Step-by-step explanation:
algorithm works by selecting the lowest cost edges which do not form any cycle are selected for generating the MST Kruskal's Prim's D
An algorithm is a set of instructions or rules designed to solve a particular problem or achieve a specific goal. In the case of finding the minimum spanning tree (MST) of a weighted undirected graph, two popular algorithms are Kruskal's algorithm and Prim's algorithm.
Kruskal's algorithm works by selecting the lowest cost edges that do not form any cycle, until all vertices are connected in a single MST. It starts by sorting all the edges in non-decreasing order of their weights. Then, it considers each edge one by one and adds it to the MST if it does not create a cycle. A disjoint-set data structure is used to keep track of the connected components of the graph.
On the other hand, Prim's algorithm works by starting from an arbitrary vertex and gradually adding the lowest cost edges that connect the MST to the remaining vertices. It maintains a set of visited vertices and a priority queue of the edges that connect them to the unvisited vertices. At each step, it selects the edge with the lowest weight and adds its endpoint to the visited set. Then, it updates the priority queue by adding the edges that connect the new vertex to the unvisited vertices.
Both algorithms guarantee to find the same MST for any given weighted undirected graph. However, Kruskal's algorithm is generally faster and easier to implement, especially for sparse graphs. Prim's algorithm has the advantage of being more efficient for dense graphs, as it avoids considering all the edges.
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Y/3+y/4=5/6
Find the LCD that would eliminate the fractions
Answer:
the answer is in the picture
Here is the equation of four straight lines. Two of these lines are parallel. Which two
lines? (3)
Line A y = 2x+3
Line B 2y = 6- 3x
Line C 4x -2y =3
Line D y = 3-2x
Answer:
Line A and Line C are parallel.
Step-by-step explanation:
GUYS I NEED HELP ON THIS ASAP!! PLS PLS PLS PLSSSSSS. tysm to anyone who help me thx
Answer: D the chef answers the inequality incorrectly and makes a mistake between the Given and Step 1
Answer:
D) the chef answers the inequality incorrectly and makes a mistake between the Given and Step 1
Step-by-step explanation:
You can't add two numbers when one has a variable
7h + 45 > 143
7h > 98
h > 14
this would be the correct form
Use the discriminant to determine the nature of the roots of the following equation.
x2 + 2x + 5 = 0
imaginary root
Double root
real and rational root
real and irrational root
Answer:
Step-by-step explanation:
disc.=b²-4ac=2²-4×1×5=4-20=-16<0
it has imaginary roots.
2(a-2b)=4b + 2c??? Pls help
Answer:
8
b
5
c
3
Step-by-step explanation:
Answer: b= -1/4c+ 1/4a
Step-by-step explanation:
Given the following Year 12 balance sheet data for a footwear company:
Balance Sheet Data
Cash on Hand 2,000
Total Current Assets 78,000
Total Assets 315,000
Overdraft Loan Payable 4,000
1- Year Bank Loan Payable 8,000
Current Portion of Long-Term Loans 13,000
Total Current Liabilities 48,000
Long - Term Bank Loans Outstanding 105,000
Shareholder Equity Year11 Balance Year 12 Change Common Stock 10,000 0 10,000
Additional Capital 100,000 0 100,000
Retained Earning 30,000 22,000 52,000
Total Shareholder Equity 140,000 +22,000 162,000
Based on the above figures and the formula for calculating the debt-assets ratio, the company's debt-assets ratio (where debt is defined to include both short-term and long-term debt) is
a) 0.375
b) 0.413.
c) 0.40.
d) 0.318.
e) 0.333.
Based on the above figures and the formula for calculating the debt-assets ratio, the company's debt-assets ratio (where debt is defined to include both short-term and long-term debt) is 0.413 or 41.3%.
The given balance sheet data,
Balance Sheet Data
Cash on Hand 2,000
Total Current Assets 78,000
Total Assets 315,000
Overdraft Loan Payable 4,000
1- Year Bank Loan Payable 8,000
Current Portion of Long-Term Loans 13,000
Total Current Liabilities 48,000
Long-Term Bank Loans Outstanding 105,000
Shareholder Equity Year11 Balance Year 12 Change Common Stock 10,000 0 10,000
Additional Capital 100,000 0 100,000
Retained Earning 30,000 22,000 52,000
Total Shareholder Equity 140,000 +22,000 162,000
The debt-assets ratio is calculated by dividing the total debt (current liabilities + long-term loans) by the total assets.
In this case, the total debt is 48,000 + 105,000 = 153,000
and the total assets are 315,000.
Thus, the debt-assets ratio is 153,000/315,000 = 0.413.
Also, the debt-assets ratio is 0.413 * 100 = 41.3%
The correct answer is b) 0.413.
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At a restaurant, a survey was conducted to find which beverage the customers preferred. In the survey, every woman customer was asked which beverage was her favorite. Were the results of the survey valid
Answer: No, because the sample was not random.
Step-by-step explanation:
For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.
Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.
Answer:
No, because the sample was not random.
Step-by-step explanation:
The value of the perimeter of the figure is equal to the value of the area. Find the value of X.
The value of x if the value of the perimeter of the figure is equal to the value of the area is 1.5
Area and perimeter of rectangleLength of the rectangle = 6 inWidth of the rectangle = 2x inArea of rectangle = perimeter of rectangle
Length × width = 2(length + width)
6 × 2x = 2(6 + 2x)
12x = 12 + 4x
collect like terms12x - 4x = 12
8x = 12
divide both sides by 8x = 12 / 8
x = 1.5
So,
Width of the rectangle = 2x in
= 2(1.5)
= 3 in
Therefore, the length and width of the given rectangle is 6 in and 3 in respectively
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I will mark brainliest if you answer
Answer: 65.7 x 10^4 should be your answer.
Step-by-step explanation: THIS IS THE CORRECT ANSWER
Answer:
6.31*10*10*10*10*10=631000
2.6*10*10*10*10=26000
631000+26000=657000
Step-by-step explanation:
the answer
at a small private college with 800 students, 240 students receive some form of government-sponsored financial aid. find the probability that a randomly selected student does not receive some form of government-sponsored financial aid.
The probability is 7/10 or 70% that a randomly selected student does not receive some form of government-sponsored financial aid
Total number of students in the small private college = 800
Number of students who receive some form of government-sponsored financial aid = 240
Number of students who did not receive government-sponsored financial aid = 800 - 240 = 560
Computing the probability using the formula, we get the following:
The probability that a randomly selected student did not receive government-sponsored financial aid = Number of students who did not receive financial aid/Total number of students in the college
= 560/800 = 7/10 or 70%
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(im giving brainliest for real answer)
The constant of proportionality of y and x in the graph is given as follows:
k = 3/4.
How to obtain the constant of proportionality?In a proportional relationship, the ratio between the output variable y and the input variable x is constant, and is called constant of proportionality, given as follows:
k = y/x.
A proportional relationship is a special case of a linear function, which has an intercept of zero, as is the case for the graph in this problem.
The marked point on the graph has the coordinates given as follows:
(4,3).
Meaning that the constant of proportionality of y and x in the graph is calculated as follows:
k = y/x = 3/4.
(division of the value of the y-coordinate by the value of the x-coordinate).
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A simple random sample with n = 56 provided a sample mean of 22.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)
a) Develop a 90% confidence interval for the population mean.
b) Develop a 95% confidence interval for the population mean.
c) Develop a 99% confidence interval for the population mean.
a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).
b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).
c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).
To develop confidence intervals for the population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
where the standard error is equal to the sample standard deviation divided by the square root of the sample size.
a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.
From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.
The standard error can be calculated as:
Standard Error = sample standard deviation / sqrt(sample size)
Standard Error = 4.4 / sqrt(56)
Standard Error ≈ 0.5882
Now we can calculate the confidence interval:
Confidence Interval = 22.5 ± (1.671 * 0.5882)
Confidence Interval = 22.5 ± 0.9816
Confidence Interval ≈ (21.52, 23.48)
b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.004 * 0.5882)
Confidence Interval = 22.5 ± 1.178
Confidence Interval ≈ (21.322, 23.678)
c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.678 * 0.5882)
Confidence Interval = 22.5 ± 1.574
Confidence Interval ≈ (20.926, 24.074)
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PLEASE HELP ME WITH THIS
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation: (sorry you'll have to graph them on your own)
Number 2:
So if x was this y would be...
x=-3 y=4 (-3,4)
x=0 y=2 (0,2)
x=3 y=0 (3,0)
The solution would be (3,0).
Number 3:
So before we begin we'd have to solve for y by subtracting 1 from both sides to get... \(y=3x-1\)
Now we should choose -1, 0, and 1 so now...
x=-1 y=-4 (-3,4)
x=0 y=-1 (0,2)
x=1 y=2 (3,0)
The solution would be (1,2).
if z^2=x^3 + y^2, dx/dt=−2, dy/dt=−3, and z>0, find dz/dt at (x,y)=(4,0).dz/dt =
Derivative of z, dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt) = (3/2)(-2) + (0)(-3) = -3
How to find derivative of z dz/dt?We need to use the chain rule:
dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)
We can find ∂z/∂x and ∂z/∂y by differentiating the given equation with respect to x and y, respectively:
2z(dz/dx) = 3x² + 2y(dy/dx)
2z(dz/dy) = 2y
Solving for dz/dx and dz/dy, we get:
dz/dx = (3x² + 2y(dy/dx))/(2z)
dz/dy = y/z
Plugging in the given values, we get:
dz/dx = (3(4)²)/(2(2sqrt(4³))) + 0 = 3/2
dz/dy = 0/sqrt(4³) = 0
So, dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt) = (3/2)(-2) + (0)(-3) = -3
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Derivative of z, dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt) = (3/2)(-2) + (0)(-3) = -3
How to find derivative of z dz/dt?We need to use the chain rule:
dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)
We can find ∂z/∂x and ∂z/∂y by differentiating the given equation with respect to x and y, respectively:
2z(dz/dx) = 3x² + 2y(dy/dx)
2z(dz/dy) = 2y
Solving for dz/dx and dz/dy, we get:
dz/dx = (3x² + 2y(dy/dx))/(2z)
dz/dy = y/z
Plugging in the given values, we get:
dz/dx = (3(4)²)/(2(2sqrt(4³))) + 0 = 3/2
dz/dy = 0/sqrt(4³) = 0
So, dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt) = (3/2)(-2) + (0)(-3) = -3
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Figure A is a scale image of Figure B. What is the value of x?
Answer:
4.4
Step-by-step explanation:
To find the answer we would need to find by how much the amount reduced from Figure B to Figure A.
10/4=2.5.
Now we just need to divide 11 by 2.5 which equals 4.4.
So, if I'm correct, the answer should be 4.4.
Hope this helps! <3
Jina needs to memorize words on a vocabulary list for Latin class. She has memorized 12 of the words, which is three-fourths of the list. How many words are on the list?
12 words is 3/4 or 75% of the list
How many words are=
Find 100- 75=25%
25%= 1/4 = 3/4÷3
Then divide 75%/3= 12/3= 4
Now add 12words + 4 words = 16 words
Then answer is, there are 16 words
\(\bold{Heya~!}\)
\(\sf{What~is~9x~12~x~7~+~2x~?\)
✏ \(\underline{\large \huge{\mathfrak{Note:~Explanation~your~answers,~With~your~own~words.}}}\)
Thanks~
Determine f(4), f(-5) and f(-2/3)
i) f(x)= -6
I don’t understand how to solve for a single y, need help please:)
Answer:
Y would just equal 6. It says so. Imagine that line where the line is just at y=-6. And imagine all of the points on that line with 4, 5, and -2/3 as the x.
Step-by-step explanation:
The square of a number is added to 6
Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours. 25n+15x B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.
Answer:
A. 25n + 15x
B. $358.75
Step-by-step explanation:
Jocelyn earns
Grocery store= $x per hour
Babysitting= $n per hour
A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours.
The expression is:
25n + 15x
B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.
25n + 15x
When n= $10 and x= $7.25
25n + 15x
= 25(10) + 15(7.25)
= 250 + 108.75
= $358.75
Therefore, if Jocelyn earns $10 per hour for babysitting and babysat for 25 hours, and earn $7.5 per hour at the grocery store and works for 15 hours.
Her total earnings will be $358.75
HELP ME ASAP
Which of the following articles would most benefit from a problem and solution organization pattern?
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
An article comparing the loggerhead turtle rescue efforts on different beaches
An article discussing the life span of the loggerhead turtle
An article explaining why the loggerhead turtle is an endangered species
Answer:
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
Step-by-step explanation:
In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.
100 POINTS HELP ME FINISH A tariff is a tax on imported goods. If the United States can sell oranges for $5, but Mexico can sell them in the United States for $3, which of the following is the most likely tariff price attached to Mexican oranges?
A. $2
B. $0
C. $1
Answer:
$2
Step-by-step explanation:
This way the US can compete with the lower Mexican prices.
Answer:
The answer is A($2)
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Rose uses 8.3 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer: Rose used 2.075 pints of blue paint for her bedroom walls
Step-by-step explanation:
Amount of white and blue paint used for bedroom walls=8.3 pints
Amount of white paint used =3/4 x8.3 pints =6.225 pints
Amount of blue paint used = Amount of white and blue paint used for bedroom walls-Amount of white paint used
8.3 pints - 6.225 pints=2.075 pints
A rectangular playground is 90 m long and 60 m wide. It is surrounded by a 3 m wide raceway. What is the area of the raceway
A rectangular playground with dimension 90 m x 60 m is surrounded by a 3 m wide raceway. The area of the raceway is 936 m².
The area of the raceway can be calculated by finding the difference between the area of the larger rectangle, including the raceway, and the area of the smaller rectangle, which is the playground itself.
First, we need to find the dimensions of the larger rectangle. Since the raceway is 3 m wide on all sides, the length of the larger rectangle will be 90 m + 3 m + 3 m = 96 m, and the width will be 60 m + 3 m + 3 m = 66 m.
Next, we can find the area of the larger rectangle by multiplying the length and width:
Area of larger rectangle = 96 m × 66 m = 6336 m²
Now we can find the area of the smaller rectangle, which is the playground itself, by multiplying the length and width:
Area of smaller rectangle = 90 m × 60 m = 5400 m²
Finally, we can find the area of the raceway by subtracting the area of the smaller rectangle from the area of the larger rectangle:
Area of raceway = 6336 m² - 5400 m² = 936 m²
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\(\sqrt[4]1296/25}\)
The simplified value of \(\sqrt[4]{1296} /25\) is 0.24.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given \(\sqrt[4]{1296} /25\)
factors of 1296 are = 2⁴ x 3⁴
\(\sqrt[4]{1296}\) = \((2^{4} *3^{4}) ^{\frac{1}{4} }\)
\(\sqrt[4]{1296}\) = 6
\(\sqrt[4]{1296} /25\) = 6/25
\(\sqrt[4]{1296} /25\) = 0.24
Hence the value is 0.24.
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